P9E.3 Suppose that a molecular orbital of a heteronuclear diatomic molecule is built from the orbital basis psi_{A}; psi

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P9E.3 Suppose that a molecular orbital of a heteronuclear
diatomic molecule is built from the orbital basis psi_{A}; psi_{p}
and where and are both on psi_{e}; psi_{B}*psi_{c} one atom (they
can be envisaged as F2s and F2p in HF, for instance). Set up the
secular equations for the optimum values of the coefficients and
set up the corresponding secular determinant.